Question

I have some tables and chairs. If I place two chairs at each table, I have one extra chair. If I place three chairs at each table, I have one table with no chairs. What is the sum of the total number of tables and chairs?

Answer 1

Answer:

4 tables 9 chairs

Explanation:

Let the count of chairs be c
Let the count of tables be t

Breaking down the question into its component parts:

color(brown)("If I have two chairs at each table I have an extra chair")

c=2t+1

color(brown)("If I have one table to three chairs I have 1 table with no chairs")

c=3(t-1)

=>2t+1=c=3(t-1)

2t+1=3t-3

3t-2t=1+3

t=4

But c=2t+1